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The moment ratios of particle size distributions in some simple growth models

Published online by Cambridge University Press:  14 July 2016

H. L. MacGillivray
H. L. MacGillivray*
Affiliation:
University of Queensland
*
∗Postal address: Department of Mathematics, University of Queensland, St. Lucia, Queensland 4067, Australia.
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Abstract

Important parameters of particle size distributions in dispersed systems in engineering and related fields are ratios of moments and inverse powers of these ratios, known as mean sizes. The variation in these parameters is examined for the simplest growth model in which the size distribution is translated, and the results for this process considered in relation to the problems of models of other growth processes. For initial size distributions with monotone hazard rate, the results are particularly significant, and the properties of the normalised moments of other distributions are also considered.

Keywords

GROWTH MODELSMOMENT RATIOSMONOTONE HAZARD RATENORMALISED MOMENTSPARTICLE SIZE DISTRIBUTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 956 - 967
Copyright
Copyright © Applied Probability Trust 

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